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What is the equation of the line that passes through the point (5,-7) and has a slope of negative 1

1 Answer

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Answer:

y = -x - 2

Explanation:

Use equation: y = mx + b, where "m" is the slope and "b" is the y intercept. You are given a slope of -1 for the m. This is usually expressed as just a "-", as the 1 is inferred.

Since you are given a point, plug the x and y values in to the equation.

-7 = -(5) + b

Solve for b:

-7 = -5 + b

-2 = b

Knowing "m" and "b", plug these in to get your final equation

y = -x - 2

User James Roland
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